Question: From your own experiences, create a scenario that will require the use of a tree diagram to determine probability of related events.Be sure that your
From your own experiences, create a scenario that will require the use of a tree diagram to determine probability of related events.Be sure that your scenario has at least two related events.Create at least four questions based onyour scenario:
- Create a Tree Diagram to model the scenario
- Question that requires application of Conditional Probability
- Question that requires the Law of Total Probability
- Question that implements Bayes' Theorem via Conditional Probability
- 1.Create scenario from your own experiences that can be used to model a probability problem with related events,where there is dependencypresented between the events (see your text, section 8.7 for guidance.)
- Question 2
- Draw a Tree Diagram to show the relationship between all of your presented events. Label each part of the tree using the identified events and the corresponding probabilities.
- Note you should include the events and the corresponding probabilities.In all, there should be 10 entries.
- Question 3
- Create an question that requires Conditional Probability based on the information in your tree.
- Provide a response to that question, you must phrase your response in terms of the events identified on your tree.
- Question 4
- Provide a question that requires the Law of Total Probability.
- Provide an answer to the question that applies the Law of Total Probability.Be sure to phrase in terms of events.
- Question 5
- Provide a question that requires use of information on your tree in application of Bayes' Theorem.
- Provide a solution to your question, be sure to phrase in terms of the events provided on your tree and show each step
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